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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a>0 > For fixed z and a=17/8, b>=a > For fixed z and a=17/8, b=47/8





http://functions.wolfram.com/07.23.03.c6sx.01









  


  








Input Form





Hypergeometric2F1[17/8, 47/8, -(3/2), -z] == (1/(34224 (1 + z)^(19/2))) (Sqrt[1 + z] (34224 + 593929 z + 9933516 z^2 - 42575746 z^3 + 10670724 z^4 + 1551993 z^5 + 225736 z^6 + 17864 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - 4 Sqrt[z] (2139 + 37789 z + 22075529 z^2 - 36742832 z^3 + 2854905 z^4 + 415657 z^5 + 58667 z^6 + 4466 z^7) Sinh[ArcSinh[Sqrt[z]]/4])








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02